Given positive integer n, consider the set of numbers {n²+1, n²+2, ... (n+1)²}. If we pick two numbers x and y out of that set, how many different values can the product xy take?
(In reply to
re(4): what am I missing? by pcbouhid)
Oh, this isn't a FK sequence, but it does illustrate how a consecutive
sequence of numbers can produce overlapping products. It may be the
case that FK sequences don't produce overlapping products, but it isn't
obvious why. At least not to me :-) Make sense?
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Posted by owl
on 2005-08-16 20:55:17 |
re(5): what am I missing?
